Step: 1

The x and y coordinates of its image P′ become (x - 3) and (y - 2), respectively.

[The point P (x , y ) is moved 3 units to left and 2 units down.]

Step: 2

So, the rule for the translation is (x , y ) → (x - 3, y - 2).

Correct Answer is : (x , y ) → (x - 3, y - 2)

Step: 1

The x -coordinate of the image P′ is negative.

Step: 2

So, the point P has been translated to the left.

Step: 3

Number of units, it has been translated left = 5 - (- 2) = 7 units

Step: 4

Step: 5

So, the point P has been translated up.

Step: 6

Number of units, it has been translated up = 9 - 5 = 4 units

Step: 7

So, the rule for the translation is (x , y ) → (x - 7, y + 4).

Correct Answer is : (x , y ) → (x - 7, y + 4)

Step: 1

The coordinates before translation and after translation are (- 2, 3) and (2, 3).

Step: 2

The x -coordinate after translation is greater than that before translation but the y -coordinate is not changed. So, the translation is towards right.

Step: 3

Translation = 2 - (- 2) = 2 + 2 = 4 units right.

Step: 4

So, move 4 units right from (- 2, 3) to reach (2, 3).

Correct Answer is : Move 4 units right.

Step: 1

The coordinates of the line segment are (7, 6) and (3, -8).

Step: 2

The translation is done by 7 units left.

Step: 3

Since, the translation is done to left, the y -coordinate does not change.

Step: 4

7 - 7 = 0 and 3 - 7 = -4.

[x -coordinates of each end point gets reduced by 7.]

Step: 5

The new coordinates of the line segment are (0, 6) and (-4, -8).

Correct Answer is : (0, 6) and (-4, -8)

Step: 1

After the first translation, 2 units right and 5 units up, the x -coordinate becomes 3 + 2 = 5 and y -coordinate becomes 4 + 5 = 9 units.

Step: 2

The coordinates after the first translation is (5, 9).

Step: 3

Again the image is translated, 2 units left and 1 unit down, the x -coordinate becomes 5 - 2 = 3 and y -coordinate becomes 9 -1 = 8.

Step: 4

The coordinates of the point after translation is (3, 8).

Correct Answer is : (3, 8)

Step: 1

The two points are (4, 5) and (9, 5).

Step: 2

As the y -coordinate is not changing and the x -coordinate is positive and increasing, the translation is towards right.

Step: 3

The translation of the point is 9 - 4 = 5 units to the right.

Step: 4

So, to translate the point D(4, 5), to coordinates D′(9, 5), move 5 units right.

Correct Answer is : Move 5 units right.

Step: 1

The point P is at (- 4, 2).

[From the coordinate plane.]

Step: 2

When the point is translated 3 units to the right the x -coordinate changes, but the y -coordinate remains the same.

Step: 3

After translation the x -coordinate becomes - 4 + 3 = - 1

[As the point is translated to the right.]

Step: 4

The new coordinates of the point P after translation is (- 1, 2)

Correct Answer is : (- 1, 2)

Step: 1

The horizontal change is the change in x -coordinate.

Step: 2

The horizontal change is 10.

Step: 3

Since the x -coordinate of the point K' is less than the x -coordinate of the point K, the horizontal translation is 10 units to the left from the point K.

Correct Answer is : 10 units to the left

Step: 1

When (- 2, 2) is translated down 3 units, the y -coordinate becomes - 1, but the x -coordinate remains same.

Step: 2

After translating (- 2, - 1) to 6 units right, the x -coordinate of the point becomes 4, but the y -coordinate remains same.

Step: 3

So, the coordinates of the new point C′ are (4, - 1).

Correct Answer is : (4, - 1)

Step: 1

Plot the point O (0, 0).

Step: 2

Count down 2 units and right 5 units from the point O.

Step: 3

Graph O′.

Step: 4

The coordinates of the image O′ are (5, - 2).

Correct Answer is : (5, - 2)

Step: 1

The x -coordinate of the image P′ is negative.

Step: 2

So, the point P has been translated to the left.

Step: 3

Number of units, it has been translated left = 8 - (- 3) = 11 units

Step: 4

The y -coordinate of the image P′ is greater than that of the point P.

Step: 5

So, the point P has been translated up.

Step: 6

Number of units it has been translated up = 13 - 7 = 6 units

Step: 7

So, the rule for the translation is (x , y ) → (x - 11, y + 6).

Correct Answer is : (x , y ) → (x - 11, y + 6)

Step: 1

A transformation in which every point of the figure moves the same distance and in the same direction is called translation or sliding.

Step: 2

Among the 3 figures, Figure 1 represents the slide of the figure(A).

[Figure 1 is 2 units up and 3 units to the right of figure (A).]

Correct Answer is : Figure 1

Step: 1

Plot the point B (3, 5).

Step: 2

Count 3 units right and 5 units up from the point B.

Step: 3

Graph the points.

Step: 4

Therefore, the coordinates of the image of point B = (6, 10 )

Correct Answer is : (6, 10)

Step: 1

After the first translation, 3 units right and 7 units up, the x -coordinate becomes 4 + 3 = 7 and y -coordinate becomes 6 + 7 = 13 units.

Step: 2

The coordinates after the first translation is (7, 13).

Step: 3

Again the image is translated 2 units left and 1 unit down, the x -coordinate becomes 7 - 2 = 5 and y -coordinate becomes 13 -1 = 12.

Step: 4

The coordinates of the point after translation is (5, 12).

Correct Answer is : (5, 12)

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